Q: What are the factor combinations of the number 522,750,125?

 A:
Positive:   1 x 5227501255 x 10455002525 x 20910005125 x 4182001739 x 7073753695 x 1414755659 x 9237518475 x 28295
Negative: -1 x -522750125-5 x -104550025-25 x -20910005-125 x -4182001-739 x -707375-3695 x -141475-5659 x -92375-18475 x -28295


How do I find the factor combinations of the number 522,750,125?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 522,750,125, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 522,750,125
-1 -522,750,125

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 522,750,125.

Example:
1 x 522,750,125 = 522,750,125
and
-1 x -522,750,125 = 522,750,125
Notice both answers equal 522,750,125

With that explanation out of the way, let's continue. Next, we take the number 522,750,125 and divide it by 2:

522,750,125 ÷ 2 = 261,375,062.5

If the quotient is a whole number, then 2 and 261,375,062.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 522,750,125
-1 -522,750,125

Now, we try dividing 522,750,125 by 3:

522,750,125 ÷ 3 = 174,250,041.6667

If the quotient is a whole number, then 3 and 174,250,041.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 522,750,125
-1 -522,750,125

Let's try dividing by 4:

522,750,125 ÷ 4 = 130,687,531.25

If the quotient is a whole number, then 4 and 130,687,531.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 522,750,125
-1 522,750,125
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15251257393,6955,65918,47528,29592,375141,475707,3754,182,00120,910,005104,550,025522,750,125
-1-5-25-125-739-3,695-5,659-18,475-28,295-92,375-141,475-707,375-4,182,001-20,910,005-104,550,025-522,750,125

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